Introduction to Precise Numerical Methods

Introduction to Precise Numerical Methods

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Description

Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed. The book also provides exercises which illustrate points from the text and references for the methods presented.
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Product details

  • Hardback | 272 pages
  • 157.5 x 228.6 x 15.2mm | 521.64g
  • Academic Press Inc
  • San Diego, United States
  • English
  • 2nd edition
  • 0123738598
  • 9780123738592

Review quote

"No other book on the market can guarantee results to this level of accuracy." -- Mathematical Reviews/MathSciNet, Issue 2008g

The book is ideal for classes in numerical analysis taught by mathematics, computer science, or engineering departments. The guaranteed accuracy of the software makes it very useful for professional engineers and scientists who need to solve numerical problems in their work." -- Mathematical Reviews/MathSciNet, Issue 2008g
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Table of contents

Preface; 1 Introduction; 2 Computer Arithmetics; 3 Classification of Numerical Computation Problems; 4 Real-Valued Functions; 5 Computing Derivatives; 6 Computing Integrals; 7 Finding Where a Function f(x) is Zero; 8 Finding Roots of Polynomial; 9 Solving n Linear Equations in n Unknowns; 10 Eigenvalue and Eigenvector Problems; 11 Problems of Linear Programming; 12 Finding Where Several Functions are Zero; 13 Optimization Problems; 14 Ordinary Differential Equations; 15 Partial Differential Equations; 16 Numerical Methods with Complex Functions; Index
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About Oliver Aberth

Oliver Aberth received his B.S. from City College of New York, his M.S. from Massachusetts Institute of Technology, and his Ph.D. from the University of Pennsylvania. He is also the author of Computable Analysis (McGraw-Hill, 1980) and Precise Numerical Methods Using C++ (Academic Press, 1998). He was professor of mathematics at Texas A & M University from 1970 to 1999. He is currently professor emeritus at Texas A & M University.
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